Finding the Third Proportional to 19,471 and 45,599.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,471 : 45,599.50 = 45,599.50 : x
2. Step 2: Convert to fraction form
   19,471/45,599.50 = 45,599.50/x
3. Step 3: Cross multiply
   19,471x = 45,599.50 × 45,599.50
4. Step 4: Simplify right side
   19,471x = 2,079,314,400.25
5. Step 5: Solve for x
   x = 2,079,314,400.25/19,471
6. Step 6: Final answer
   x = 106,790.32